Write whether the following are true or false ? Justify your answer.
(i) Point (3,0) lies in the first quadrant.
(ii) Points (1,-1) and (-1,1) lie in the same quadrant.
(iii) The coordinate of a point whose ordinate is -`(1)/(2)` and abscissa is 1 are `(-(1)/(2),1)`.
(iv) A point lies on Y-axis at a distance of 2 units from the X-axis. Its coordinate are (2,0).
(v) (-1,7) is a point in the second quadrant.

Explanation

(i)False, since the ordinate of the point (3,0) is zero. So, the point lies on X-axis.
(ii) False, because in point (1,-1) x-coordinate is positive and y-coordinate is positive , so it lies in IV quadrant and in (-1,1) , x-coordinate is negative and y-coordinate is positive , so it lies in II quadrant.
(iii) False, because stating the coordinates of a point abscissa comes first and then ordinate `(1,-(1)/(2))`.
(iv) False, because point (2,0) lies on X-axis whose distance from Y-axis is 2 units.

(v) True, because in a point(-1,7) abscissa is negative and ordinate is positive.